Write the equation of a hyperbola given the co vertices and asymptote

The video tutorial explains how to plot co-vertices and identify the center of a hyperbola. It covers the calculation of A and B values, using the asymptote to finalize the hyperbola equation. The tutorial emphasizes understanding the transverse axis and its role in determining the orientation of the hyperbola.

What is the center of the hyperbola given the co-vertices are ±8?

• (-8, 8)

• (8, 8)

• (0, 8)

• (0, 0)

If the co-vertices are left and right, what is the orientation of the transverse axis?

• Horizontal

• Vertical

• Diagonal

• None

What is the relationship between the distance from the center to the co-vertices and the value of B?

• Distance is equal to B

• Distance is unrelated to B

• Distance is half of B

• Distance is double B

How is the value of a determined using the asymptote equation?

• a = 2

• a = 16

• a = 2B

• a = B/2

What is the value of a^2 if a is calculated to be 16?

• 64

• 128

• 256

• 512